Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets

Journal Article · Mon Apr 03 04:00:00 EDT 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.1694· OSTI ID:6441310

Read, N; Sachdev, S

The large-N limit of a nearest-neighbor SU(N) antiferromagnet on a bipartite lattice exhibits in dimensions dgreater than or equal to2 a zero-temperature phase transition between a Neel ordered state and a resonating-valence-bond state. Here it is shown in d = 1,2 that topological effects produce spin-Peierls or valence-bond-solid order in the non-Neel phase with a ground-state degeneracy which varies periodically with ''spin'' for fixed N with periodicity given by the coordination number of the lattice. Thus a non-Neel phase of the spin-(1/2) Heisenberg model on a square lattice would be a spin-Peierls state with a fourfold degeneracy due to broken lattice rotational symmetry.

• Research Organization: Center for Theoretical Physics, P.O. Box 6666, and Section of Applied Physics, P.O. Box 2157, Yale University, New Haven, Connecticut 06511
• OSTI ID: 6441310
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:14; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
ANTIFERROMAGNETIC MATERIALS
CRYSTAL MODELS
DIAGRAMS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY LEVELS
GROUND STATES
HEISENBERG MODEL
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
NEEL TEMPERATURE
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
PHYSICAL PROPERTIES
SUPERCONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS